What Is the Characteristic Equation of the Differential Equation $\frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}-6 y=0$

question 124

Multiple Choice

What is the characteristic equation of the differential equation $\frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}-6 y=0$ ?

• A) \((r+5)(r-6)=0\)
• B) \((r+5)(r-1)=0\)
• C) \(r^{2}-5 r+6=0\)
• D) \(r^{2}+5 r-6=0\)

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